Finding the Third Proportional to 465 and 1,139.25

Step by Step Solution

1. Step 1: Write the proportion equation
   465 : 1,139.25 = 1,139.25 : x
2. Step 2: Convert to fraction form
   465/1,139.25 = 1,139.25/x
3. Step 3: Cross multiply
   465x = 1,139.25 × 1,139.25
4. Step 4: Simplify right side
   465x = 1,297,890.56
5. Step 5: Solve for x
   x = 1,297,890.56/465
6. Step 6: Final answer
   x = 2,791.16